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Finding the Fourth Proportional to 3,161, 4,740.60 and 2,120.36

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Solution

The fourth proportional to 3,161, 4,740.60 and 2,120.36 is: 3,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161 : 4,740.60 = 2,120.36 : x
  2. Step 2: Convert to fraction form
    3,161/4,740.60 = 2,120.36/x
  3. Step 3: Cross multiply
    3,161x = 4,740.60 × 2,120.36
  4. Step 4: Simplify right side
    3,161x = 10,051,778.62
  5. Step 5: Solve for x
    x = 10,051,778.62/3,161
  6. Step 6: Final answer
    x = 3,179.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.